a) What must the value of k be for this to be a valid probability model? | b) What is the probabillity that at least one waiter and at least one chef show up on any given day? c) What is the probability that more chefs show up than waiters on any given day?

Q: 3. A pair of dice is rolled 180 times. What is the probability that a total of 7 occurs? (a) at…

A: Givena pair of dice is rolled 180 timesn=180if a pair of dice is rolled 180…

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: Find the indicated probability. 80% of U.S. drivers over the age of 30 have had a speeding ticket…

A:

Q: ustomers walk up to

A: The average number of customers is , λ=20×1.6=32. The probability of 3 or fewer people using this…

Q: 2. The weather in a given area is observed for 5 days. If the occurrences of rain each day are…

A: Given,n=5p=0.4q=1-p=1-0.4=0.6X=no.of days have rain X~Binomial (n=5 , p=0.4)P(X=x)=cxn pxqn-x ;…

Q: A retail variety store that advertises extensively by mail circulars expects a sale with 20%…

A: From the provided information, A retail variety store that advertises extensively by mail circulars…

Q: B. A college graduate believes he has 60% chance of getting a particular job. Historically, 75% of…

A:

Q: A poll is given, showing 20% are in favor of a new building project. If 8 people are chosen at…

A:

Q: A coin is biased so that the probability of heads is 3/5. What is the probability that exactly four…

A: Given : Probability of getting heads is, p = 35 q = 1 - p q = 25 flips are independent. n = 9 x = 4…

Q: A coin is tossed n times. a) What is the probability that exactly k heads occur? b) What is the…

A: Given Data : A coin is tossed n times. To Find : a) Probability that exactly k heads occur…

Q: Suppose Nate wins 34% of all checker games. (a) What is the probability that Nate wins two checker…

A: Probability is a concept that everyone uses in their day-to-day life. We use the word probably, for…

Q: A. What is the probability that the or more copies will be demanded in a particular day? B. What is…

A: The daily  demand for copies of a movie magazine at a variety store has the probability distribution…

Q: A bank is interested in studying the number of people who use the ATM located outside its office…

A:

Q: bank is interested in studying the number of people who use the ATM located outside its office late…

A: Given that

Q: A certain region of a country is, on average, hit by 9 hurricanes a year. (a) What is the…

A:

Q: a) What is the probability that exactly two patients will arrive in a given hour? b) What is the…

A:

Q: a) What is the probability that the next small aircraft arrives within the next five minutes? b)…

A: Here use passion distribution Because arrival rate is constant for particular time interval

Q: A coin is tossed and a 1-5 spinner is spun. hat is the probability getting heads and án odd number?

A: 1. Count the possible odd numbers from 1-5 compared to the even ones 1, 3, 5 (3 out of 5 numbers)…

Q: Suppose Ari loses 32​% of all ping-pong games. ​(a) What is the probability that Ari loses two…

A: Ari loses 32​% of all ping-pong games. p = 0.32 q = 1-0.32 = 0.68   all event are independent so…

Q: Suppose Emerson loses 36% of all checker games. (a) What is the probability that Emerson loses two…

A:

Q: 2. A professor posts the grades for a class using the last four digits of the Social Security number…

A: Here Given Professor posts the grades for class using the last 4 digits of social security Number of…

Q: (a) What is the probability that the store sells at least one game on a randomly selected day? (b)…

A: Here given number of games sold at store open every day of week follows poisson distribution  And…

Q: Suppose Emerson loses 37% of all checker games. (a) What is the probability that Emerson loses two…

A:

Q: 3% of the customers of a mortgage company default on their payments. A sample of five customers is…

A:

Q: b) If three bags are selected at random, find the probability that 2 bags weigh more than 55 kg. c)…

A: We want to find the probability

Q: a) What is the probability that exactly 4 small air- craft arrive during a 1-hour period? b) What is…

A:

Q: C) in osorno a trip to viña del mar is raffled among the 120 best clients of yogi market. of them,…

A: Probability: The term probability is defined as the chance of occurrence of an event. The…

Q: A survey of 1000 students found that 41% of the surveyed students were freshmen, 31% were juniors,…

A: Given that 1000 students were surveyed.

Q: O A certain tennis player makes a successful serve 80% of the time. Suppose the tennis player serves…

A:

Q: A business enterprise obtains, on average, 12 calls per hour. For any given hour, find the…

A: Given : A business enterprise on average gets , λ = 12 calls/hr Let X represents the number of calls…

Q: (a) What is the probability that the number of drivers will be at most 14? (b) What is the…

A: According to the answering guidelines, we can answer only three subparts of the question and the…

Q: 1. What is the probability of not having a vowel in the alphabet given that it is a letter from the…

A: here ,  total available alphabets  =  26 (A,B,,,,,... ...Y,Z) vowels are A,E,I,O,U  Consonants are…

Q: c. A computer system requires that passwords contain at least one digit. If seven characters are…

A: It is given that, If seven characters are generated at random, and each is equally likely to be any…

Q: 4. Consider a box with 10 balls and 5 sticks. Draw seven times from the box, with replacement. Draws…

A: There are 10 balls and 5 sticks in the box, total 10+5 = 15 items. Out of 15 items 10 are balls.…

Q: Five cards are dealt from a standard 52-card deck. Let V be the number of aces dealt. What is the…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: At a fair, a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are…

A: Total number of balloons=25 Number of yellow balloons=n(Y)=10 Number of red balloons=n(R)=8 Number…

Q: In a city, assume 25% of citizens are smokers. When 20 people in the city are randomly surveyed,…

A: Solution: a. Let X be the number of people are smokers and n be the sample number of people. From…

Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…

A: Given information: The probability that at least two of the people share the same birthday is 0.8.

Q: 4. Whenever the TV show Prison Break is on, 34% of televisions are tuned to this show. a. What is…

A: Hi there! Thanks for posting the question. Since there are two different questions, we will solve…

Q: . A lottery game, LOTTOPLUS, is set up so that each player hooses seven different numbers from 1 to…

A: Given : Each player chooses 7 different numbers from 1 to 24

Q: A roulette wheel has 38 slots in which the ball can land. Two of the slots are green, 18 are red,…

A: Probability of an event = Each spins are independent means the outcome of first spin does not…

Q: a. What is the probability that a person chosen at random purchases Brand X and is under 30 years…

A: here use given table    here use basic probability and bayed rule  probability  = #favorable…

Q: A fair coin is tossed 9 times. (A) What is the probability of tossing a tail on the 9th toss, given…

A:

Q: 3. Aplinko game is composed of a board and a disc. The player drops the hits a series of pegs that…

A: Let the Buckets are named as A, B, C , D and E A $100 B $0 C $0 D $0 E $50

Q: The undergraduate admission rate at a certain university for a certain year was 7​%.   a. Assuming…

A: a.The probability that exactly 8 out of 100 applicants will be admitted is obtained below:From the…

Q: According to the administrative data from school, 76% of the students have a part-time job. Suppose…

A: Let P denote part-time job and S denote senior. Given: PP=0.76PS=0.28PP∩S=0.21 The probability that…

Q: Give proper explanation  In a certain city, at 9PM, 30% of the TV viewing audience watches the…

A: Given, p(TV viewing audience)  = 0.30 p(comedy viewers) = 0.45 sample size (n) = 7 By using Binomial…

Q: 3. According to a survey in a country 25 % of all houscholds are wircless only houscholds(no…

A: Givenp=0.25n=20x~Binomial(n=20,p=0.25)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1,...,n

Q: 6. Among private employees of a certain company, 60% know Java, 50% Python languages. a) What is the…

A: Among private employees of a certain company 60% know java 50% knows Python 30% knows both…

Q: 16. Ten percent of the students at a certain college are non-resident. A reporter for the student…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.